half-moon vs lune

half-moon

noun
  • Anything shaped like a crescent, especially the base of a fingernail. 

  • A semicircular or crescent-shaped Filipino butter cookie. 

  • The moon in its first or last quarter when only half the visible face is illuminated; a quarter moon. 

  • Synonym of black and white (“type of cookie”) 

lune

noun
  • Anything crescent-shaped. 

  • A leash for a hawk. 

  • A concave figure formed by the intersection of the arcs of two circles on a plane, or on a sphere the intersection between two great semicircles. 

How often have the words half-moon and lune occurred in a corpus of books? (source: Google Ngram Viewer )